Plateau’s problem for integral currents in locally non-compact metric spaces
- Wenger, Stefan Department of Mathematics, University of Fribourg, Switzerland
-
2013
Published in:
- Advances in Calculus of Variations. - 2014, vol. 7, no. 2, p. 227–240
English
The purpose of this article is to prove existence of mass minimizing integral currents with prescribed possibly non-compact boundary in all dual Banach spaces and furthermore in certain spaces without linear structure, such as injective metric spaces and Hadamard spaces. We furthermore prove a weak*-compactness theorem for integral currents in dual spaces of separable Banach spaces. Our theorems generalize results of Ambrosio–Kirchheim, Lang, the author, and recent results of Ambrosio–Schmidt.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
-
- RERO DOC 211440
- DOI 10.1515/acv-2012-0018
- Persistent URL
- https://folia.unifr.ch/unifr/documents/303782
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